A Numerical Method of High Accuracy for Linear Parabolic Partial Differential Equations

Table 4

Observed errors and time cost by QSC-CN0 and QSC-TG for system (4.1) with 𝑝=0.1, for several values of time steps and mesh sizes.

Δ𝑥	QSC-CN0				QSC-TG
	Δ𝑡=8Δ𝑥^2		Δ𝑡=20Δ𝑥^2		Δ𝑡=2.5Δ𝑥
	Error	Time (s)	Error	Time (s)	Error	Time (s)
1/64	1.02𝑒−008	1.55	1.27𝑒−007	0.27	4.54𝑒−009	0.075
1/128	7.17𝑒−010	45.92	7.83𝑒−009	7.54	2.83𝑒−010	0.26
1/256	4.75𝑒−011	1494.55	4.88𝑒−010	236.46	1.81𝑒−011	1.26
1/512	—	—	—	—	2.91𝑒−012	6.02